Abstract
The chapter starts by defining a porous medium and discusses the continuum description of phenomena and flow and transport of extensive quantities such as mass, momentum and energy at the microscopic and macroscopic continuum levels. The derivation of the unscaled continuum description at the macroscopic level by volume and mass averaging is presented and discussed, although the book is based primarily on deriving the continuum description of transport in porous media by the phenomenological approach. Scales of description are discussed for inhomogeneous porous media. The general procedure for mathematical modeling is presented.
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Bear, J. (2018). Porous Media. In: Modeling Phenomena of Flow and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-72826-1_1
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